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    Spectrochemical

    Analysis

    JAMES D. INGLE JR.

    Oregon State University

    STANLEY R. CROUCH

    Michigan State University

    Prentice Hall, Englewood Cliffs,

    ew

    Jersey 07632

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    Contents

    PREFACE

    XII I

    SPECTROCHEMICAL INFORMATION

    1-1 Ra diatio n/M atter Intera ction s, 1

    1-2 Na tur e of Spe ctroch em ical

    Analysis, 2

    Types of analyses, 3

    Samples, 3

    Spectrochemicalphenomena,4

    Analysis ofreal samples, 5

    1-3 Ex pres sion s of An alytic al

    Information, 6

    alibration data, 6

    Atomic andmolecular

    spectra,

    7

    Optimization ofthe responsefunction, 8

    1-4 Ev aluation Criteria in Spectrochem ical

    Techniques, 9

    Practica considerations, 9

    Automation and multiplespecies capability, 9

    Interferences an dselectivity, 9

    Figures ofmerit 10

    Overview, 11

    Problems, 11

    References, 11

    SPECTROCHEMICAL MEA SUREM ENTS 1 3

    2-1 Com plete Spect rochemical M easure men t , 13

    2-2 Exp ressio ns of Op tical Inte nsity , 15

    Radiometrie System, 15

    Photometrie System, 18

    2-3 Spectroche mical M eth ods , 18

    Emission

    spectroscopy,

    18

    2-4

    Absorption spectroscopy, 20

    Luminescence spectroscopy, 21

    Scatteringmethods, 21

    Selection of Optical Information, 22

    Wavelength selection, 22

    Other

    selection criteria,

    23

    v

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    VI

    ontents

    2 -5 M e a s u r e m e n t o f O p t i c a l S i g n a l s , 2 3

    Analytical signal, 24

    Emission and chemiluminescence spectrometry, 24

    Photoluminescence spectrometry, 25

    Absorption spectrometry, 25

    P r o b l e m s , 2 7

    R e f e r e n c e s , 2 8

    OPTICAL CO MPO NEN TS OF SPECTROMETERS 30

    3 -1 B a s i c O p t i c a l R e l a t i o n s h i p s , 3 0

    The conservation law, 30

    The laws of reflection and refraction, 31

    The absorption law, 34

    3 -2 In t e r f e r e n c e , D i f f r a c t i o n , a n d P o l a r i z a t i o n o f

    E l e c t r o m a g n e t i c W a v e s , 3 5

    Superposition of waves, 35

    Interference, 37

    Diffraction, 37

    Polarization of light, 39

    3 -3 M o d u l a t o r s , 4 4

    Mechanical choppers, 45

    Electro-optic and magneto-optic modulators, 45

    Acousto-optic modulators, 45

    3 -4 Im a g i n g a n d B e a m D i r e c t i n g O p t i c s , 4 7

    Mirrors, 48

    Lenses, 51

    Image irradiance, 53

    Optical aberrations, 55

    Beam Splitters, 56

    Fiber optics, 59

    3 -5 F i l t e r s , P r i s m s , a n d G r t i n g s , 6 0

    Filters, 60

    Prisms, 63

    Diffraction gratings, 64

    3 -6 D i s p e r s i v e W a v e l e n g t h S e l e c t i o n S y s t e m s , 6 7

    Monochromators, 67

    Polychromators and spectrographs, 76

    3 -7 N o n d i s p e r s i v e S y s t e m s , 7 8

    Fabry-Perot interferometer, 78

    Michelson interferometer, 81

    Other interferometers, 83

    Advantages of Fourier transform m ethods, 84

    P r o b l e m s , 8 4

    R e f e r e n c e s , 8 6

    OPTICAL SOURCES TRANSDUCERS AND MEAS UREM ENT SYSTEM S 8 7

    4 - 1 B l a c k b o d y R a d i a t i o n , 8 7

    Planck's law, 88

    Approximate blackbody expressions, 89

    Einstein coefficients, 89

    Applications to spectroscopy, 90

    4 -2 C o n v e n t i o n a l R a d i a t i o n S o u r c e s , 9 1

    Characteristics of sources, 91

    Continuum sources, 92

    Continuum plus line sources, 95

    Line sources, 95

    Miscellaneous sources, 97

    Standard sources, 97

    4 - 3 La s e r S o u r c e s , 9 8

    Principles of lasers, 98

    Laser types, 99

    Laser characteristics, 105

    Nonlinear optical effects, 105

    Summary, 106

    4 -4 O p t i c a l T r a n s d u c e r s , 1 06

    Transducer characteristics, 107

    4-5

    4-6

    Thermal detectors, 108

    Photon detectors, 109

    Mulchannel detectors, 114

    S i g n a l P r o c e s s i n g a n d R e a d o u t S y s t e m s , 1 1 7

    General considerations, 1 18

    Modulation principles, 119

    Signal conditioning, 121

    Analog signal processing, 123

    Compu ter data acquisition, 127

    Digital signal processing, 127

    Readout and display Systems, 128

    O p t i c a l S p e c t r o m e t e r s , 1 28

    Single-channel spectrometers, 128

    Mulchannel spectrometers, 129

    Multiplexing Systems, 131

    Quantitative readout expressions, 131

    P ro b l e m s , 1 3 2

    R e f e r e n c e s , 1 3 3

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    ontents vii

    SIGNAL-TO-IMOISE RATIO CO NSIDE RAT IONS 13 5

    5-1 Ch ara c te r i s t i c s o f S igna l s an d No ise , 135

    Noise magnitude, 136

    Noise types, 136

    Signal characteristics and the signal-to-noise ratio,

    137

    5 -2 F r e q u e n c y C h a ra c t e r i s t i c s o f S i g n a l P ro c e s s i n g

    a n d R e a d o u t S y s t e m s , 1 3 8

    Amplitude transfer function, 138

    System bandpass, 139

    Noise in readout Signals, 140

    5-3 No ise So urc es , 141

    Quantum , secondary em ission, and shot noise, 141

    Flicker noise, 144

    Other noise sources, 145

    5 -4 S i g n a l - t o -N o i s e Ex p re s s i o n s fo r Em i s s i o n a n d

    L u m i n e s c e n c e M e a s u r e m e n t s , 1 4 6

    General expressions, 146

    Blank-noise-limited SIN expressions, 148

    Signal-shot-noise-limited expressions, 149

    Signal-flicker-noise-limited expressions, 149

    Dependence of SIN on analytical Signal, 149

    5-5

    5-6

    S i g n a l - t o -N o i s e E x p r e s s i o n s fo r A b s o r p t i o n

    M e a s u r e m e n t s , 1 5 0

    General equations, 150

    0% T noise-limited expressions, 152

    Signal-shot-noise-limited expressions, 153

    Signal-flicker-noise-limited expressions, 153

    Other noise sources, 153

    Direct absorbance readout, 153

    S i g n a l - t o - N o i s e E n h a n c e m e n t T e c h n i q u e s , 1 5 4

    Frequency-domain filtering, 154

    Adjustment of analytical and background signal

    levels, 155

    Photon counting, 155

    Modulation techniques, 156

    Double-beam and dual-channel techniques, 158

    Time-domain filtering, 159

    Multichannel and multiplex Systems, 160

    P r o b l e m s , 1 6 1

    R e f e r e n c e s , 1 6 2

    METHODOLOGY IN SPECTROCHEMICAL ANALYSIS 1 6 4

    6 -1 Ex t e r n a l S t a n d a rd C a l i b r a t i o n , 1 6 4

    6 -2 S y s t e m a t i c E r ro r s i n S p e c t ro c h e m i c a l

    M e t h o d s , 1 6 5

    Matrix errors, 165

    Calibration errors, 167

    Sample acquisition, preparation, and measurement

    errors, 168

    6 -3 R a n d o m E r r o r s i n S p e c t r o c h e m i c a l

    M e a s u r e m e n t s , 1 6 8

    Determination of Standard deviation in

    concentration, 168

    Statistical Statements, 169

    Other considerations, 170

    6 -4 S e n s i t i v it y a n d D e t e c t i o n L i m i t , 1 7 1

    Sensitivity, 171

    Detection limit, 172

    6 -5 Te c h n i q u e s fo r M i n i m i z a t i o n o f S y s t e m a t i c a n d

    R a n d o m E r r o r s , 1 7 6

    Separations, 176

    Saturation, buffer, and masking methods, 176

    Dilution, matrix match, and parametric methods, 177

    Internal blank and Standard methods, 177

    Method of Standard additions, 17 8

    Methods based on optical encoding, 180

    Chemical selectivity, 181

    Instrumental correction methods, 182

    6 -6 A u t o m a t e d S p e c t r o c h e m i c a l M e a s u r e m e n t s ,

    183

    P r o b l e m s , 1 8 6

    R e f e r e n c e s , 1 8 8

    7

    INTRODUCTION TO ATOMIC SPECTROSCOPY 1 8 9

    7 -1 S a m p l e I n t r o d u c t i o n a n d A t o m i z a t i o n , 1 89

    Overview, 190

    Nebulizers, 192

    Free-atom formation fter nebulization, 195

    Free-atom formation with discrete sample

    introduction, 198

    7 -2 In t e r f e r e n c e s i n A t o m i c S p e c t ro s c o p y , 1 9 8

    Blank interferences, 198

    Analyte interferences, 199

    7 - 3 E l e c t ro n i c S t a t e s o f A t o m s , 2 0 2

    Quantum numbers, 202

    Coupling schemes, 203

    Term Symbols, 203

    Selection rules and atomic spectra, 205

    Additional Splitting effects, 207

    Statistical weights and partition functions, 207

    7-4 Spe c t ra l Li ne Pro f i l es , 209

    Lifetime broadening, 209

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    Doppler broadening, 211

    Other causes of line broadening, 212

    Overall line profiles, 213

    S p e c t r a l L i n e In t e n s i t i e s , 2 1 4

    Thermal emission, 214

    8

    Absorption, 217

    Atomic fluorescence, 219

    P r o b l e m s , 2 2 2

    R e f e r e n c e s , 2 2 3

    FLAME AND PLASMA ATOMIC EMISSION SPECTROMETRY 2 2 5

    T h e I d e a l A t o m i c E m i s s i o n S p e c t r o m e t r i c

    Sys tem, 226

    Information desired from emission spectra, 226

    Characteristics of the ideal emission source, 226

    Atomizer temperature, 227

    F l a m e A t o m i c Em i s s i o n S o u rc e s , 2 2 7

    Properties of flames, 228

    Sample introduction into flames, 231

    Atomization and excitation characteristics, 232

    Compa rison to the ideal source, 23 3

    P l a s m a A t o m i c Em i s s i o n S o u rc e s , 2 3 3

    Inductively coupled plasmas, 233

    Microwave plasmas, 237

    DC plasmas, 238

    F l a m e a n d P l a s m a E m i s s i o n S p e c t r o m e t e r s ,

    239

    Wavelength selection, 239

    Transducers and electronic components, 243

    Computer control, 244

    8 -5 S i g n a l a n d N o i s e C o n s i d e r a t i o n s , 2 4 4

    Readout Signals, 244

    Signal-to-noise expressions, 245

    Signal-to-noise optimization, 246

    8 -6 P e r fo rm a n c e C h a ra c t e r i s t i c s , 2 4 7

    Linearity, 247

    Precision, 248

    Accuracy, 249

    Detection limits, 251

    8 -7 M e t h o d o l o g y a n d A p p l i c a t i o n s , 2 5 1

    Identification and selection of analytical lines, 252

    Analytical procedures, 253

    Applications, 253

    P r o b l e m s , 2 5 5

    R e f e r e n c e s , 2 5 6

    ARC AND SPARK EM ISSIO N SPECTROMETRY 25 7

    9 -1 A re Ex c i t a t i o n S o u rc e s , 2 5 8

    Free-burning de arcs, 258

    Other types of arcs, 260

    Arcs as ideal emission sources, 261

    9 -2 H i g h -V o l t a g e S p a rk s a n d O t h e r Em i s s i o n

    S o u rc e s , 2 6 2

    The high-voltage spark discharge, 262

    Miscellaneous excitation sources, 265

    9 -3 I n s t r u m e n t a t i o n a n d P e r f o r m a n c e

    C h a ra c t e r i s t i c s , 2 6 7

    Photographic detection for arc and spark emission,

    267

    Performance characteristics, 268

    9 -4 M e t h o d o l o g y a n d A p p l i c a t i o n s , 2 6 9

    Qualitative and semiquantitative methods, 269

    Quantitative methods, 270

    Applications, 270

    P r o b l e m s , 2 7 1

    R e f e r e n c e s , 2 7 1

    10 ATOM IC ABSORPTION SPECTROPHOTOMETRY 27 3

    1 0 - 1 A t o m i z e r s , 2 7 4

    Flame atomizers, 274

    Electrothermal atomizers, 275

    Other sample introduction and atomization

    techniques, 278

    10-2 S igna l and No ise Ex pre ss io ns , 280

    Readout expressions, 280

    Signal-to-noise expressions, 283

    1 0 - 3 In s t ru m e n t a t i o n , 2 8 7

    Comm on features of commercial AA

    spectrophotometers, 287

    Double-beam Systems, 288

    Background correction, 288

    Multielement spectrophotometers, 294

    1 0 -4 P e r fo r m a n c e C h a ra c t e r i s t i c s , 2 9 6

    Linearity, 296

    Precision, 298

    Accuracy, 298

    Characteristic concentrations and detection limits,

    299

    1 0 -5 M e t h o d o l o g y a n d A p p l i c a t i o n s , 3 0 1

    Flame atomization, 301

    Electrothermal atomization, 302

    Applications, 303

    P r o b l e m s , 3 0 4

    R e f e r e n c e s , 3 0 5

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    ontents

    IX

    11

    ATOMIC FLUORESCENCE SPECTROMETRY 3 7

    1 1-1 T y p e s o f F l u o re s c e n c e , 3 0 7

    1 1-2 I n s t ru m e n t a t i o n , 3 0 9

    Excitation sources, 310

    Atomizers and sample introduction, 311

    Wavelength selection a nd Signal processing, 312

    Multielement Instrumentation, 312

    1 1- 3 S i g n a l a n d N o i s e Ex p re s s i o n s , 3 1 3

    Signal expressions, 313

    Saturated fluorescence, 316

    Signal-to-noise expressions, 318

    1 1 - 4 P e r f o r m a n c e C h a r a c t e r i s t i c s

    a n d A p p l i c a t i o n s , 3 2 0

    Linearity, 320

    Precision and accuracy, 320

    Detection limits, 320

    Applications, 321

    Overview, 322

    P r o b l e m s , 3 2 3

    R e f e r e n c e s , 3 2 4

    12 INTRODU CTION TO MOLECULAR SPECTROSCOPY 32 5

    1 2 -1 M o l e c u l a r S p e c t r a , 3 2 6

    1 2-2 R o t a t i o n a l S p e c t r a , 3 2 6

    1 2-3 V i b r a t i o n a l S p e c t r a , 32 7

    Pure vibrational transitions, 327

    Rotation-vibrational transitions, 328

    1 2-4 E l e c t ro n i c A b s o rp t i o n S p e c t r a o f D i a t o m i c

    Mo l e c u l e s , 3 2 9

    Electronic states, 329

    Electronic transitions, 331

    1 2-5 E l e c t ro n i c A b s o rp t i o n S p e c t r a o f P o l y a t o m i c

    Mo l e c u l e s , 3 3 4

    Electronic states and transitions, 335

    Electronic spectra, 336

    Electronic band shapes and intensities, 337

    1 2 -6 L u m i n e s c e n c e S p e c t r a , 3 3 8

    Processes of deactivation, 338

    Quantum efficiencies and power yields, 339

    Luminescence lifetimes, 342

    Quenching and excitedstate reactions, 343

    Band shapes, 344

    Structural effects, 344

    Environmental effects, 347

    Polarization of luminescence, 348

    P r o b l e m s , 3 4 9

    R e f e r e n c e s , 3 5 0

    13

    ULTRAVIOLET AN D VISIBLE MOLECULAR ABSO RPTION SPECTROPH OTOM ETRY 35 2

    1 3 -1 I n s t ru m e n t a t i o n , 3 5 2

    Instrumental components, 354

    Readout considerations, 361

    Other features, 363

    13-2 S igna l and No ise Express ions , 365

    Readout expressions, 365

    Signal-to-noise expressions, 367

    1 3-3 A p p a re n t D e v i a t i o n s f ro m B e e r s La w , 3 7 2

    Nonzero intercept, 372

    Nonlinearity due to chemical equilibria, 373

    Nonlinearity due to other chemical effects, 373

    Nonlinearity du e to polychromatic radiation, 373

    Nonlinearity due to stray radiation, 37 6

    Other instrumental causes of nonlinearity, 379

    13-4 M e t h o d o l o g y a n d P e r f o r m a n c e C h a r a c t e r i s t i c s ,

    381

    General considerations in quantitative analysis, 381

    Performance characteristics, 383

    1 3 -5 A p p l i c a t i o n s , 3 8 6

    Qualitative analysis, 386

    Fundamental applications, 386

    Conventional quantitative determinations, 387

    Determination of inorganic species, 387

    Multicomponent determinations, 390

    Spectrophotometric titrations, 390

    Reaction-rate methods of determination, 391

    Other quantitative techniques and uses, 394

    Chromatographie applications, 396

    Automated measurements, 398

    Reflectance measurements, 398

    Optical rotatory dispersion and circular dichroism

    measurements, 398

    P r o b l e m s , 3 9 9

    R e f e r e n c e s , 4 0 2

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    14

    INFRAREO SPECTROMETRY 40 4

    14-1 Basis of Infrared Absorption, 405

    Requirements for infrared absorption, 405

    Number of vibrational modes, 405

    Group frequencies, 407

    Vibrationalcoupling 408

    14-2 Ins trumentat ion 408

    Dispersive IR spectrophotometers, 408

    Fourier transform IR spectrometers, 412

    Nondispersive IR instruments, 415

    14-3 S a m p l e P r e p a r a t i o n Te c h n i q u e s 4 1 7

    Gas samples, 417

    Liquid samples, 417

    Solid samples, 419

    Microsampling devices, 419

    14-4 Qua l i tat ive Ana lys i s and Structure

    D e t e r m i n a t i o n 4 2 0

    Correlation Charts, 421

    Spectral collections and search Systems, 422

    Applications, 422

    14-5 Quantitative Infrared Absorption

    Spectrophotometry, 423

    Nonlinearities, 423

    Measuremen t of absorption, 424

    Precision of IR absorption measurem ents, 425

    Applications, 426

    14-6 Near-Infrared and Far-Infrared

    Absorption, 427

    Near-infrared spectrometry, 427

    Far-infrared spectrometry, 428

    1 4 -7 I n f r a r e d R e f l e c t i o n a n d E m i s s i o n , 4 2 9

    Infrared reflectance methods, 429

    Infrared emission spectroscopy, 434

    Problems, 435

    References, 436

    15

    MOLECULAR LUMINESCENC E SPECTROMETRY 4 3 8

    15-1 Instrumentation, 439

    Excitation sources, 440

    Wavelength-selection devices, 441

    Sample compartment and sample cells, 442

    Cell geometry, 443

    Detectors, 443

    Data processing, m anipulation, and readout 443

    Data presentation, 444

    Compensation and correction techniques, 446

    15-2 Signal and Noise Ex pression s, 449

    Signal expressions, 450

    Refinements of Signal expressions, 455

    Solution variables, 456

    Corrected measurements, 457

    Saturation effects, 458

    Signal-to-noise expressions, 459

    Detection limits, 460

    15-3 Molecular Fluorescence Spectrom etry, 461

    Methodology, 462

    Background Signals, 462

    Performance characteristics, 464

    Qualitative analysis, 466

    Fundamental applications, 466

    Quantum efficiency determinations, 466

    Quantitative analysis, 467

    Multicomponent analysis, 470

    Spectrofluorometric titrations, 471

    Fluorescence Chromatographie detection, 471

    Vapor-phase fluorescence, 47 2

    Immunoassays, 472

    Remote sensing 472

    1 5- 4 M o l e c u l a r P h o s p h o r e s c e n c e S p e c t r o m e t r y , 4 73

    Low-temperature phosphorescence, 473

    Room-temperature phosphorescence, 474

    Instrumentation, 477

    Methodology, 478

    Performance characteristics, 478

    Applications, 478

    1 5- 5 C h e m i l u m i n e s c e n c e , 4 7 8

    Principles, 479

    Instrumentation, 480

    Solution chemiluminescence, 482

    Bioluminescence, 484

    Gas-phase chemiluminescence, 484

    Electrochemiluminescence, 484

    15-6 Lifetime and Polarization M easurem ents, 485

    Lifetime measurements, 485

    Polarization techniques, 489

    Problems, 490

    References, 491

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    16

    MOLECULAR SCATTERING METH ODS 49 4

    16-1

    16-2

    16-3

    P r i n c i p l e s o f R a d i a t i o n S c a t t e r i n g , 4 9 4

    Elastic scattering, 495

    Inelastic scattering, 497

    R a m a n S p e c t r o s c o p y , 4 9 9

    Theory, 500

    Instrumentation, 502

    Compa rison of Raman and IR spectrometry, 507

    Resonance Raman spectrometry, 508

    Applications, 509

    Nonlinear Raman scattering, 511

    T u r b i d i m e t r y a n d N e p h e l o m e t r y , 5 1 3

    Instrumentation and theory, 513

    Applications, 515

    1 6 -4 La s e r S c a t t e r i n g M e t h o d s , 5 1 5

    Molecular weight determinations, 515

    Low-angle scattering, 518

    Quasi-elastic light scattering, 519

    Brillouin scattering, 520

    1 6 -5 R e m o t e S e n s i n g w i t h La s e r s , 5 2 2

    Laser radar, 522

    Applications, 522

    P r o b l e m s , 5 2 3

    R e f e r e n c e s , 5 2 4

    17

    SPECTROC HEMICAL TECHN IQUES ON THE HORIZON 52 5

    1 7-1 P h o t o a c o u s t i c S p e c t ro m e t ry , 52 5

    Instrumentation, 526

    Principles, 527

    Applications, 528

    1 7-2 Th e r m a l Le n s i n g S p e c t ro m e t r y , 5 2 9

    Instrumentation, 529

    Models of thermal lens formation, 530

    Analytical applications, 531

    Related thermo-optical methods, 532

    1 7 -3 L a s e r I o n i z a t i o n of A t o m s , 5 3 2

    Laser-enhanced ionization methods, 533

    Resonance ionization methods, 535

    Summary, 536

    1 7- 4 M i s c e l l a n e o u s L a s e r - B a s e d T e c h n i q u e s , 5 36

    Intracavity absorption, 536

    Molecular multiphoton ionization, 537

    Doppler-free absorption spectroscopy, 538

    R e f e r e n c e s , 5 4 1

    A

    STATISTICAL CONCEPTS 54 3

    A - l S t a t i s ti c a l Q u a n t i t i e s , 5 4 3

    Mean and Standard deviation, 543

    Probability distributions, 543

    Hypothesis testing, 547

    Confidence intervals, 547

    A -2 P ro p a g a t i o n o f U n c e r t a i n t i e s , 5 4 8

    R e f e r e n c e s , 5 4 9

    B

    PROPERTIES OF OPTICAL MATERIALS 55 0

    B-l Refr ac t ive Ind ice s , 550

    B -2 T r a n s m i s s i o n C h a ra c t e r i s t i c s , 5 5 1

    B -3 R e f l e c t a n c e o f M i r ro r M a t e r i a l s , 5 5 1

    B -4 O t h e r P ro p e r t i e s , 5 5 2

    R e f e r e n c e s , 5 5 3

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    ontents

    C CHARACTERISTICS OF OPTICAL FILTERS 55 4

    References, 556

    D PHOTOM ULTIPLIER TUBE SPECIFICATIONS 55 7

    E SAMPLE PREPARATION METHO DS 5 6 0

    E-l Sample Dissolution M ethod s, 560

    E-2 Separation and Preco ncen tration, 561

    References, 561

    F ATOMIC AND MOLECULAR TRAN SITIONS 56 3

    F-l Einstein Coefficients, 564

    F-2 Oscillator Stren gths, 564

    F-3 Relationships between Expe rimental and

    Fundamental Quantities, 565

    F-4 Unit Con siderations, 567

    UNITS CONSTAN TS CONVERSION FACTORS ABBREVIATIONS

    A N D Q U A N T U M N U M B E R S 5 6 8

    S Y M B O L S 5 7 1

    INDEX 5 7 7